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Finding the Fourth Proportional to 6,787.71, 9,366.66 and 3,762.66

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Solution

The fourth proportional to 6,787.71, 9,366.66 and 3,762.66 is: 5,192.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,787.71 : 9,366.66 = 3,762.66 : x
  2. Step 2: Convert to fraction form
    6,787.71/9,366.66 = 3,762.66/x
  3. Step 3: Cross multiply
    6,787.71x = 9,366.66 × 3,762.66
  4. Step 4: Simplify right side
    6,787.71x = 35,243,556.92
  5. Step 5: Solve for x
    x = 35,243,556.92/6,787.71
  6. Step 6: Final answer
    x = 5,192.26

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.